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Simplifying 8(1 + n) + 4 = 2(2n + -2) (1 * 8 + n * 8) + 4 = 2(2n + -2) (8 + 8n) + 4 = 2(2n + -2) Reorder the terms: 8 + 4 + 8n = 2(2n + -2) Combine like terms: 8 + 4 = 12 12 + 8n = 2(2n + -2) Reorder the terms: 12 + 8n = 2(-2 + 2n) 12 + 8n = (-2 * 2 + 2n * 2) 12 + 8n = (-4 + 4n) Solving 12 + 8n = -4 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 12 + 8n + -4n = -4 + 4n + -4n Combine like terms: 8n + -4n = 4n 12 + 4n = -4 + 4n + -4n Combine like terms: 4n + -4n = 0 12 + 4n = -4 + 0 12 + 4n = -4 Add '-12' to each side of the equation. 12 + -12 + 4n = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 4n = -4 + -12 4n = -4 + -12 Combine like terms: -4 + -12 = -16 4n = -16 Divide each side by '4'. n = -4 Simplifying n = -4
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